Question

Which of the following is the correct factored form of the given equation?

Answer 1

$4x^2 - 11x + 6 = 0\\ 4x^2-8x-3x+6=0\\ 4x(x-2)-3(x-2)=0\\ (4x-3)(x-2)=0$

Answer 2

Answer:  The correct option is (C) $(4x-3)(x-2)=0.$

Step-by-step explanation:  We are given to select the correct factored form of the following quadratic equation.

$4x^2-11x+6=0$

To do so, we need to factorize the left hand side of the above equation.

We have

$4x^2-11x+6=0\\\\\Rightarrow 4x^2-8x-3x+6=0\\\\\Rightarrow 4x(x-2)-3(x-2)=0\\\\\Rightarrow (4x-3)(x-2)=0.$

Therefore, the correct factored form of the given equation is

$(4x-3)(x-2)=0.$

Thus, (C) is the correct option.